Banakh, T. O.; Ravsky, A. V. On unconditionally convergent series in topological rings. (English) Zbl 1503.13016 Carpathian Math. Publ. 14, No. 1, 266-288 (2022). Reviewer: Dario Spirito (Padova) MSC: 13J10 22A10 54H11 54H13 PDFBibTeX XMLCite \textit{T. O. Banakh} and \textit{A. V. Ravsky}, Carpathian Math. Publ. 14, No. 1, 266--288 (2022; Zbl 1503.13016) Full Text: DOI arXiv OA License
Banakh, Taras Automatic continuity of measurable homomorphisms on Cech-complete topological groups. arXiv:2206.02481 Preprint, arXiv:2206.02481 [math.GN] (2022). MSC: 03E15 03E75 22A10 22D05 28A05 54C05 54C08 54D45 54E52 54H05 54H11 BibTeX Cite \textit{T. Banakh}, ``Automatic continuity of measurable homomorphisms on Cech-complete topological groups'', Preprint, arXiv:2206.02481 [math.GN] (2022) Full Text: arXiv OA License
Banakh, Taras; Tkachenko, Mikhail Weak completions of paratopological groups. (English) Zbl 1497.22005 Topology Appl. 304, Article ID 107797, 9 p. (2021). MSC: 22A15 54D35 54H11 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{M. Tkachenko}, Topology Appl. 304, Article ID 107797, 9 p. (2021; Zbl 1497.22005) Full Text: DOI arXiv
Banakh, Taras; Guran, Igor; Ravsky, Alex Generalizing separability, precompactness and narrowness in topological groups. (English) Zbl 1480.22002 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 18, 6 p. (2021). Reviewer: Victor Hugo Yanez (Matsuyama) MSC: 22A05 54D65 PDFBibTeX XMLCite \textit{T. Banakh} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 18, 6 p. (2021; Zbl 1480.22002) Full Text: DOI arXiv
Banakh, Taras; Guran, Igor; Ravsky, Alex Each topological group embeds into a duoseparable topological group. (English) Zbl 1511.22001 Topology Appl. 289, Article ID 107487, 11 p. (2021). MSC: 22A05 22A22 22B05 54D65 PDFBibTeX XMLCite \textit{T. Banakh} et al., Topology Appl. 289, Article ID 107487, 11 p. (2021; Zbl 1511.22001) Full Text: DOI arXiv
Banakh, Taras; Ravsky, Alex On feebly compact paratopological groups. (English) Zbl 1468.22003 Topology Appl. 284, Article ID 107363, 36 p. (2020). MSC: 22A15 54D10 54H11 54H99 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{A. Ravsky}, Topology Appl. 284, Article ID 107363, 36 p. (2020; Zbl 1468.22003) Full Text: DOI arXiv
Banakh, Taras; Bardyla, Serhii; Guran, Igor; Gutik, Oleg; Ravsky, Alex Positive answers to Koch’s problem in special cases. (English) Zbl 1441.22003 Topol. Algebra Appl. 8, 76-87 (2020). MSC: 22A15 54D30 PDFBibTeX XMLCite \textit{T. Banakh} et al., Topol. Algebra Appl. 8, 76--87 (2020; Zbl 1441.22003) Full Text: DOI arXiv OA License
Banakh, Taras A quantitative generalization of Prodanov-Stoyanov theorem on minimal abelian topological groups. (English) Zbl 1435.22002 Topology Appl. 271, Article ID 106983, 17 p. (2020). Reviewer: Lydia Außenhofer (Passau) MSC: 22A05 22A15 54D30 54E15 PDFBibTeX XMLCite \textit{T. Banakh}, Topology Appl. 271, Article ID 106983, 17 p. (2020; Zbl 1435.22002) Full Text: DOI arXiv
Banakh, Taras; Brazas, Jeremy Realizing spaces as path-component spaces. (English) Zbl 1432.55026 Fundam. Math. 248, No. 1, 79-89 (2020). Reviewer: Tayyebe Nasri (Bojnord) MSC: 55Q52 58B05 54B15 22A05 54C10 54G15 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{J. Brazas}, Fundam. Math. 248, No. 1, 79--89 (2020; Zbl 1432.55026) Full Text: DOI arXiv
Banakh, Taras Detecting \(\sigma X_n\)-sets in topological groups and linear metric spaces. (English) Zbl 07877889 Visn. L’viv. Univ., Ser. Mekh.-Mat. 88, 70-82 (2019). MSC: 57N17 03E15 54H05 PDFBibTeX XMLCite \textit{T. Banakh}, Visn. L'viv. Univ., Ser. Mekh.-Mat. 88, 70--82 (2019; Zbl 07877889) Full Text: DOI arXiv
Banakh, Taras; Jabłónska, Eliza Null-finite sets in topological groups and their applications. (English) Zbl 1490.39032 Isr. J. Math. 230, No. 1, 361-386 (2019). MSC: 39B52 28C10 54E52 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{E. Jabłónska}, Isr. J. Math. 230, No. 1, 361--386 (2019; Zbl 1490.39032) Full Text: DOI arXiv
Banakh, Taras Topological spaces with an \(\omega^{\omega}\)-base. (English) Zbl 1470.54015 Diss. Math. 538, 1-141 (2019). Reviewer: Vladimir Tkachuk (Ciudad de México) MSC: 54D70 54E15 54E18 54E35 PDFBibTeX XMLCite \textit{T. Banakh}, Diss. Math. 538, 1--141 (2019; Zbl 1470.54015) Full Text: DOI arXiv
Banakh, Taras; Ravsky, Alex Banalytic spaces and characterization of Polish groups. arXiv:1901.10732 Preprint, arXiv:1901.10732 [math.GN] (2019). MSC: 22A05 54E52 BibTeX Cite \textit{T. Banakh} and \textit{A. Ravsky}, ``Banalytic spaces and characterization of Polish groups'', Preprint, arXiv:1901.10732 [math.GN] (2019) Full Text: arXiv OA License
Banakh, Taras; Hryniv, Olena Baire category properties of topological groups. (English) Zbl 07877868 Visn. L’viv. Univ., Ser. Mekh.-Mat. 86, 71-76 (2018). MSC: 22A05 54E52 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{O. Hryniv}, Visn. L'viv. Univ., Ser. Mekh.-Mat. 86, 71--76 (2018; Zbl 07877868) Full Text: DOI arXiv
Banakh, Taras; Guran, Igor; Ravsky, Oleksandr On the spread of topological groups containing subsets of the Sorgenfrey line. (English) Zbl 07877867 Visn. L’viv. Univ., Ser. Mekh.-Mat. 86, 63-70 (2018). MSC: 22A05 54A25 54H11 PDFBibTeX XMLCite \textit{T. Banakh} et al., Visn. L'viv. Univ., Ser. Mekh.-Mat. 86, 63--70 (2018; Zbl 07877867) Full Text: DOI arXiv
Banakh, Taras; Leiderman, Arkady \(\omega^\omega\)-dominated function spaces and \(\omega^{\omega}\)-bases in free objects of topological algebra. (English) Zbl 1397.54036 Topology Appl. 241, 203-241 (2018). Reviewer: Ljubiša D. Kočinac (Niš) MSC: 54D70 06A06 08B20 22A99 46A99 54H11 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{A. Leiderman}, Topology Appl. 241, 203--241 (2018; Zbl 1397.54036) Full Text: DOI arXiv
Banakh, Taras Categorically closed topological groups. (English) Zbl 1422.22008 Axioms 6, No. 3, Paper No. 23, 33 p. (2017). MSC: 22A26 22A15 PDFBibTeX XMLCite \textit{T. Banakh}, Axioms 6, No. 3, Paper No. 23, 33 p. (2017; Zbl 1422.22008) Full Text: DOI arXiv OA License
Banakh, I.; Banakh, T.; Vovk, M. An example of a non-Borel locally-connected finite-dimensional topological group. (English) Zbl 1372.22001 Carpathian Math. Publ. 9, No. 1, 3-5 (2017). Reviewer: Shou Lin (Ningde) MSC: 22A05 54F45 54F35 PDFBibTeX XMLCite \textit{I. Banakh} et al., Carpathian Math. Publ. 9, No. 1, 3--5 (2017; Zbl 1372.22001) Full Text: DOI arXiv OA License
Banakh, Taras; Leiderman, Arkady The strong Pytkeev property in topological spaces. (English) Zbl 1376.54030 Topology Appl. 227, 10-29 (2017). Reviewer: Yin-Zhu Gao (Nanjing) MSC: 54E20 54C35 22A30 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{A. Leiderman}, Topology Appl. 227, 10--29 (2017; Zbl 1376.54030) Full Text: DOI arXiv
Banakh, T.; Gabriyelyan, S.; Protasov, I. On uniformly discrete subsets in uniform spaces and topological groups. (English) Zbl 1361.54019 Mat. Stud. 45, No. 1, 76-97 (2016). Reviewer: Harald Brandenburg (Berlin) MSC: 54E15 54H11 22A05 PDFBibTeX XMLCite \textit{T. Banakh} et al., Mat. Stud. 45, No. 1, 76--97 (2016; Zbl 1361.54019) Full Text: DOI
Banakh, Taras On sequential closure of the set of continuous functions the space of all separately continuous functions. (Ukrainian. English summary) Zbl 1363.54024 Bukovyn. Mat. Zh. 3, No. 3-4, 27-32 (2015). MSC: 54C10 54B10 PDFBibTeX XMLCite \textit{T. Banakh}, Bukovyn. Mat. Zh. 3, No. 3--4, 27--32 (2015; Zbl 1363.54024) Full Text: arXiv
Banakh, Taras On 2-swelling topological groups. (English) Zbl 1363.54046 Mat. Visn. Nauk. Tov. Im. Shevchenka 12, 16-23 (2015). MSC: 54H11 54D30 22A05 28C10 PDFBibTeX XMLCite \textit{T. Banakh}, Mat. Visn. Nauk. Tov. Im. Shevchenka 12, 16--23 (2015; Zbl 1363.54046) Full Text: arXiv
Banakh, Taras \(\mathfrak{P}_0\)-spaces. (English) Zbl 1331.54014 Topology Appl. 195, 151-173 (2015). Reviewer: Vladimir Tkachuk (México D. F.) MSC: 54C35 54E20 22A30 PDFBibTeX XMLCite \textit{T. Banakh}, Topology Appl. 195, 151--173 (2015; Zbl 1331.54014) Full Text: DOI arXiv
Banakh, Taras; Karchevska, Lesia; Ravsky, Alex The closed Steinhaus properties of \(\sigma\)-ideals on topological groups. arXiv:1509.09073 Preprint, arXiv:1509.09073 [math.GN] (2015). MSC: 22A15 54H99 54H11 BibTeX Cite \textit{T. Banakh} et al., ``The closed Steinhaus properties of $\sigma$-ideals on topological groups'', Preprint, arXiv:1509.09073 [math.GN] (2015) Full Text: arXiv OA License
Banakh, Taras; Chervak, Ostap; Lyaskovska, Nadya Asymptotic dimension and small subsets in locally compact topological groups. (English) Zbl 1302.54068 Geom. Dedicata 169, 383-396 (2014). Reviewer: Leonard R. Rubin (Norman) MSC: 54F45 20F65 20F69 55M10 22D05 PDFBibTeX XMLCite \textit{T. Banakh} et al., Geom. Dedicata 169, 383--396 (2014; Zbl 1302.54068) Full Text: DOI arXiv OA License
Banakh, Taras; Mine, Kotaro; Sakai, Katsuro; Yagasaki, Tatsuhiko On homeomorphism groups of non-compact surfaces, endowed with the Whitney topology. (English) Zbl 1295.57037 Topology Appl. 164, 170-181 (2014). Reviewer: Rainer Löwen (Braunschweig) MSC: 57S05 57N05 57N20 46A13 PDFBibTeX XMLCite \textit{T. Banakh} et al., Topology Appl. 164, 170--181 (2014; Zbl 1295.57037) Full Text: DOI arXiv
Banakh, T.; Mine, K.; Repovš, D.; Sakai, K.; Yagasaki, T. Detecting topological groups which are (locally) homeomorphic to LF-spaces. (English) Zbl 1284.57024 Topology Appl. 160, No. 18, 2272-2284 (2013). Reviewer: Vladimir Tkachuk (México D. F.) MSC: 57N20 46A13 22A05 PDFBibTeX XMLCite \textit{T. Banakh} et al., Topology Appl. 160, No. 18, 2272--2284 (2013; Zbl 1284.57024) Full Text: DOI arXiv
Banakh, Taras; Turek, Sławomir The groups \(S^3\) and \(\mathrm{SO}(3)\) have no invariant binary \(k\)-network. (English) Zbl 1280.22007 Topol. Proc. 41, 261-266 (2013). Reviewer: Ali Elfard (Wollongong) MSC: 22A30 54D30 22C05 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{S. Turek}, Topol. Proc. 41, 261--266 (2013; Zbl 1280.22007) Full Text: arXiv
Banakh, Taras; Gutik, Oleg; Potiatynyk, Oles; Ravsky, Alex Metrizability of Clifford topological semigroups. (English) Zbl 1250.22002 Semigroup Forum 84, No. 2, 301-307 (2012). Reviewer: M. Akbari Tootkaboni (Tehran) MSC: 22A15 PDFBibTeX XMLCite \textit{T. Banakh} et al., Semigroup Forum 84, No. 2, 301--307 (2012; Zbl 1250.22002) Full Text: DOI arXiv
Banakh, Taras; Repovš, Dušan Direct limit topologies in the categories of topological groups and of uniform spaces. (English) Zbl 1241.22002 Tohoku Math. J. (2) 64, No. 1, 1-24 (2012). Reviewer: Süleyman Güler (Aydin) MSC: 22A05 18A30 54B30 54E15 54H11 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{D. Repovš}, Tôhoku Math. J. (2) 64, No. 1, 1--24 (2012; Zbl 1241.22002) Full Text: DOI arXiv Euclid
Banakh, Taras; Cencelj, Matija; Hryniv, Olena; Repovš, Dušan Characterizing compact Clifford semigroups that embed into convolution and functor-semigroups. (English) Zbl 1246.22005 Semigroup Forum 83, No. 1, 123-133 (2011). Reviewer: Mihail I. Ursul (Oradea) MSC: 22A25 22A15 22A20 20M14 20M18 PDFBibTeX XMLCite \textit{T. Banakh} et al., Semigroup Forum 83, No. 1, 123--133 (2011; Zbl 1246.22005) Full Text: DOI arXiv
Banakh, Taras; Repovš, Dušan; Zdomskyy, Lyubomyr On the length of chains of proper subgroups covering a topological group. (English) Zbl 1221.03048 Arch. Math. Logic 50, No. 3-4, 411-421 (2011). MSC: 03E17 54D20 54H11 PDFBibTeX XMLCite \textit{T. Banakh} et al., Arch. Math. Logic 50, No. 3--4, 411--421 (2011; Zbl 1221.03048) Full Text: DOI arXiv
Banakh, Taras; Cauty, Robert; Karassev, Alex On homotopical and homological \(Z_{n}\)-sets. (English) Zbl 1227.57029 Topol. Proc. 38, 29-82 (2011). Reviewer: Liliana Răileanu (Iaşi) MSC: 57N20 54C50 54C55 54F35 54F45 55M10 55M15 55N10 PDFBibTeX XMLCite \textit{T. Banakh} et al., Topol. Proc. 38, 29--82 (2011; Zbl 1227.57029) Full Text: arXiv
Banakh, Taras; Mine, Kotaro; Sakai, Katsuro; Yagasaki, Tatsuhiko Homeomorphism and diffeomorphism groups of non-compact manifolds with the Whitney topology. (English) Zbl 1188.22001 Topol. Proc. 37, 61-93 (2011). MSC: 22A05 46A13 46T05 46T10 54H11 57N05 57N17 57N20 57S05 58D05 58D15 PDFBibTeX XMLCite \textit{T. Banakh} et al., Topol. Proc. 37, 61--93 (2011; Zbl 1188.22001) Full Text: arXiv
Banakh, Taras; Gavrylkiv, Volodymyr Algebra in the superextensions of twinic groups. (English) Zbl 1225.22004 Diss. Math. 473, 74 p. (2010). Reviewer: Kohzo Yamada (Shizuoka) MSC: 22A15 54B20 20M30 20M12 22A25 54D35 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{V. Gavrylkiv}, Diss. Math. 473, 74 p. (2010; Zbl 1225.22004) Full Text: DOI arXiv
Banakh, Taras; Zdomskyy, Lyubomyr Closed locally path-connected subspaces of finite-dimensional groups are locally compact. (English) Zbl 1201.54026 Topol. Proc. 36, 399-405 (2010). Reviewer: Kohzo Yamada (Shizuoka) MSC: 54H11 54F45 54F15 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{L. Zdomskyy}, Topol. Proc. 36, 399--405 (2010; Zbl 1201.54026) Full Text: arXiv
Banakh, Taras; Mine, Kotaro; Sakai, Katsuro; Yagasaki, Tatsuhiko Spaces of maps into topological group with the Whitney topology. (English) Zbl 1193.54021 Topology Appl. 157, No. 6, 1110-1117 (2010). Reviewer: Markus Stroppel (Stuttgart) MSC: 54H11 46A13 46T10 57N20 58D15 54C35 PDFBibTeX XMLCite \textit{T. Banakh} et al., Topology Appl. 157, No. 6, 1110--1117 (2010; Zbl 1193.54021) Full Text: DOI arXiv
Banakh, Taras; Repovš, Dušan Topological structure of direct limits in the category of uniform spaces. (English) Zbl 1189.54022 Topology Appl. 157, No. 6, 1091-1100 (2010). Reviewer: Jorge Picado (Coimbra) MSC: 54E15 54B30 54H11 46A03 46A13 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{D. Repovš}, Topology Appl. 157, No. 6, 1091--1100 (2010; Zbl 1189.54022) Full Text: DOI arXiv
Banakh, Taras; Repovš, Dušan; Zdomskyy, Lyubomyr \(o\)-boundedness of free topological groups. (English) Zbl 1184.54033 Topology Appl. 157, No. 2, 466-481 (2010). Reviewer: Igor Vladimirov Protasov (Kyiv) MSC: 54H11 54D20 20N02 57S05 22A05 PDFBibTeX XMLCite \textit{T. Banakh} et al., Topology Appl. 157, No. 2, 466--481 (2010; Zbl 1184.54033) Full Text: DOI arXiv
Banakh, T.; Shabat, O.; Zarichnyi, M. A universal model infinite-dimensional space. (English) Zbl 1196.54015 Topology 48, No. 2-4, 186-196 (2009). Reviewer: Mircea Craioveanu (Timişoara) MSC: 54B10 57N20 46T05 54F65 54B35 PDFBibTeX XMLCite \textit{T. Banakh} et al., Topology 48, No. 2--4, 186--196 (2009; Zbl 1196.54015) Full Text: DOI
Banakh, T. O.; Dimitrova, S.; Gutik, O. V. The Rees-Suschkewitsch theorem for simple topological semigroups. (English) Zbl 1199.22004 Mat. Stud. 31, No. 2, 211-218 (2009). MSC: 22A15 54H15 20M18 20M20 PDFBibTeX XMLCite \textit{T. O. Banakh} et al., Mat. Stud. 31, No. 2, 211--218 (2009; Zbl 1199.22004) Full Text: arXiv
Banakh, T. O. A homogeneous first-countable zero-dimensional compactum failing to be a topological group. (English) Zbl 1164.22300 Mat. Stud. 29, No. 2, 215-217 (2008). MSC: 22A05 54H10 54H11 PDFBibTeX XMLCite \textit{T. O. Banakh}, Mat. Stud. 29, No. 2, 215--217 (2008; Zbl 1164.22300)
Banakh, Taras; Repovš, Dušan; Zdomskyy, Lyubomyr Fréchet-Urysohn fans in free topological groups. (English) Zbl 1146.18001 J. Pure Appl. Algebra 212, No. 9, 2105-2114 (2008). MSC: 18B30 22A05 54C20 54E35 54F15 PDFBibTeX XMLCite \textit{T. Banakh} et al., J. Pure Appl. Algebra 212, No. 9, 2105--2114 (2008; Zbl 1146.18001) Full Text: DOI arXiv
Banakh, Taras; Zarichnyy, Igor Topological groups and convex sets homeomorphic to non-separable Hilbert spaces. (English) Zbl 1202.57023 Cent. Eur. J. Math. 6, No. 1, 77-86 (2008). Reviewer: Liliana Răileanu (Iaşi) MSC: 57N20 57N17 58B05 54C55 46C05 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{I. Zarichnyy}, Cent. Eur. J. Math. 6, No. 1, 77--86 (2008; Zbl 1202.57023) Full Text: DOI
Banakh, Taras; Hryniv, Olena Embedding topological semigroups into the hyperspaces over topological groups. (English) Zbl 1155.22300 Acta Univ. Carol., Math. Phys. 48, No. 2, 3-18 (2007). MSC: 22A15 22A05 54B20 20M18 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{O. Hryniv}, Acta Univ. Carol., Math. Phys. 48, No. 2, 3--18 (2007; Zbl 1155.22300) Full Text: arXiv EuDML
Banakh, T. O.; Maslyuchenko, O. V.; Mykhaylyuk, V. V. Discontinuous separately continuous functions and near coherence of \(P\)-filters. (English) Zbl 1138.54011 Real Anal. Exch. 32(2006-2007), No. 2, 335-347 (2007). Reviewer: Paul J. Szeptycki (Toronto) MSC: 54C05 03E35 03E65 26B05 54A10 54A35 54C08 PDFBibTeX XMLCite \textit{T. O. Banakh} et al., Real Anal. Exch. 32, No. 2, 335--347 (2007; Zbl 1138.54011) Full Text: DOI
Banakh, Taras Cardinal characteristics of the ideal of Haar null sets. (English) Zbl 1098.03057 Commentat. Math. Univ. Carol. 45, No. 1, 119-137 (2004). Reviewer: Miroslav Zelený (Praha) MSC: 03E17 03E15 22A10 28C10 PDFBibTeX XMLCite \textit{T. Banakh}, Commentat. Math. Univ. Carol. 45, No. 1, 119--137 (2004; Zbl 1098.03057) Full Text: EuDML EMIS
Banakh, Taras; Zdomskyĭ, Lubomyr The topological structure of (homogeneous) spaces and groups with countable cs*-character. (English) Zbl 1072.54003 Appl. Gen. Topol. 5, No. 1, 25-48 (2004). Reviewer: Roman Frič (Košice) MSC: 54A20 54A25 22A05 54A35 54D55 54E35 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{L. Zdomskyĭ}, Appl. Gen. Topol. 5, No. 1, 25--48 (2004; Zbl 1072.54003) Full Text: DOI OA License
Banakh, Taras; Ravsky, Sasha On subgroups of saturated or totally bounded paratopological groups. (English) Zbl 1061.22003 Algebra Discrete Math. 2003, No. 4, 1-20 (2003). MSC: 22A15 54H10 54H11 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{S. Ravsky}, Algebra Discrete Math. 2003, No. 4, 1--20 (2003; Zbl 1061.22003) Full Text: arXiv
Banakh, Taras; Čhoban, Mitrofan; Guran, Igor; Protasov, Igor Some open problems in topological algebra. (English) Zbl 1037.54001 Visn. L’viv. Univ., Ser. Mekh.-Mat. 61, 13-20 (2003). MSC: 54-02 54H11 PDFBibTeX XMLCite \textit{T. Banakh} et al., Visn. L'viv. Univ., Ser. Mekh.-Mat. 61, 13--20 (2003; Zbl 1037.54001) Full Text: arXiv
Banakh, Taras; Zdomskyj, Lyubomyr Each second countable abelian group is a subgroup of a second countable divisible group. (English) Zbl 1102.22002 Ukrainian mathematical congress – 2001. Algebraic structures and their applications. Proceedings of the third international algebraic conference held in framework of the Ukrainian mathematical congress, Kiev, Ukraine, July 2–8, 2001. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2777-9). 154-159 (2002). MSC: 22A05 03E25 03E60 20K45 54H11 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{L. Zdomskyj}, in: Ukraïns'kyj matematychnyj kongres -- 2001. Pratsi. Algebraïchni struktury ta ïkh zastosuvannya. Kyïv: Instytut Matematyky NAN Ukraïny. 154--159 (2002; Zbl 1102.22002) Full Text: arXiv
Banakh, Taras On index of total boundedness of (strictly) \(o\)-bounded groups. (English) Zbl 1010.22004 Topology Appl. 120, No. 3, 427-439 (2002). Reviewer: Vladimir Pestov (Ottawa, Ontario) MSC: 22A05 54H11 54H05 03E15 03E35 03E50 03E60 PDFBibTeX XMLCite \textit{T. Banakh}, Topology Appl. 120, No. 3, 427--439 (2002; Zbl 1010.22004) Full Text: DOI
Banakh, T. O. Topological classification of zero-dimensional \({\mathcal M}_{\omega}\)-groups. (English) Zbl 0989.54041 Mat. Stud. 15, No. 1, 109-112 (2001). MSC: 54H11 22A05 54G12 54F45 PDFBibTeX XMLCite \textit{T. O. Banakh}, Mat. Stud. 15, No. 1, 109--112 (2001; Zbl 0989.54041) Full Text: arXiv
Banakh, T. O. Topologies on groups determined by sequences: Answers to several questions of I. Protasov and E. Zelenyuk. (English) Zbl 0980.22003 Mat. Stud. 15, No. 2, 145-150 (2001). MSC: 22A05 54H11 26A12 PDFBibTeX XMLCite \textit{T. O. Banakh}, Mat. Stud. 15, No. 2, 145--150 (2001; Zbl 0980.22003) Full Text: arXiv
Banakh, Taras Locally minimal topological groups and their embeddings into products of \(o\)-bounded groups. (English) Zbl 1049.54034 Commentat. Math. Univ. Carol. 41, No. 4, 811-815 (2000). Reviewer: Miroslav Hušek (Praha) MSC: 54H11 22E15 PDFBibTeX XMLCite \textit{T. Banakh}, Commentat. Math. Univ. Carol. 41, No. 4, 811--815 (2000; Zbl 1049.54034) Full Text: EuDML
Banakh, Taras; Zarichnyi, Michael The interval \([0,1]\) admits no functorial embedding into a finite-dimensional or metrizable topological group. (English) Zbl 0949.54015 Serdica Math. J. 26, No. 1, 1-4 (2000). MSC: 54C20 54H11 18B30 54F45 22A05 54C25 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{M. Zarichnyi}, Serdica Math. J. 26, No. 1, 1--4 (2000; Zbl 0949.54015) Full Text: EuDML
Banakh, T. On topological groups containing a Fréchet-Urysohn fan. (English) Zbl 0941.22002 Mat. Stud. 9, No. 2, 149-154 (1998). Reviewer: T.S.Wu (Cleveland) MSC: 22A05 22A15 54H11 PDFBibTeX XMLCite \textit{T. Banakh}, Mat. Stud. 9, No. 2, 149--154 (1998; Zbl 0941.22002) Full Text: arXiv